A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration

The range of projectile will be maximum for a given velocity of projectile, when the angle of projection ($$\alpha $$) is

A

$$\frac{\beta }{2}$$

B

30° + $$\frac{\beta }{2}$$

C

45° + $$\frac{\beta }{2}$$

D

60° + $$\frac{\beta }{2}$$

A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A

Remain horizontal

B

Slant up towards direction of pull

C

Slant down towards direction of pull

D

None of the above

For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

A

$$\alpha = \frac{\pi }{4} - \frac{\beta }{2}$$

B

$$\alpha = \frac{\pi }{2} + \frac{\beta }{2}$$

C

$$\alpha = \frac{\beta }{2} - \frac{\pi }{2}$$

D

$$\alpha = \frac{\pi }{4} - \frac{\beta }{4}$$

E

$$\alpha = \frac{\pi }{2} - \frac{\beta }{2}$$

The angle of projection at which the horizontal range and maximum height of a projectile are equal to

A

36°

B

45°

C

56°

D

76°

For a given velocity of a projectile, the range is maximum when the angle of projection is

A

30°

B

45°

C

90°

D

0°

The maximum height of a projectile on a horizontal plane, is

A

$$\frac{{{{\text{u}}^2}{{\sin }^2}\alpha }}{{2{\text{g}}}}$$

B

$$\frac{{{{\text{u}}^2}{{\cos }^2}\alpha }}{{2{\text{g}}}}$$

C

$$\frac{{{{\text{u}}^2}{{\sin }^2}\alpha }}{{\text{g}}}$$

D

$$\frac{{{{\text{u}}^2}{{\cos }^2}\alpha }}{{\text{g}}}$$

5 m উচ্চতা হতে একটি বলকে 20 m/s বেগে অনুভূমিকের সাথে 30° কোণে উপরের দিকে নিক্ষেপ করা হলো। তাহলে বলটির বিচরণ কাল কত ? (A ball is thrown upward with an angle of 30° with the horizontal line from a height of 5 m with a velocity of 20 m/s. What will be the time of flight of the ball?)

A

10±1989.8s

B

10-1989.8s

C

10+1989.8s

D

10±29.8s

5 m উচ্চতা হতে একটি বলকে 20 m/s বেগে অনুভূমিকের সাথে 30° কোণে উপরের দিকে নিক্ষেপ করা হলো। তাহলে বলটির বিচরণ কাল কত? (A ball is thrown upward with an angle of 30° with the horizontal line from a height of 5 m with a velocity of 20 m/s. What will be the time of flight of the ball?)

A

10±1899.8s

B

10-1989.8s

C

10+1989.8s

D

10±29.8s

The range of projectile on a downward inclined plane is ________ the range on upward inclined plane for the same velocity of projection and angle of projection.

A

Less than

B

More than

C

Equal to

D

None of these

যদি H সর্বোচ্চ উচ্চতা এবং R আনুভূমিক পাল্লা হয়, তবে একটি বস্তুকে ভূমির সাথে 30° কোণে নিক্ষেপ করা হলে নিচের কোনটি সঠিক? ( If H is the maximum height and R is the horizontal range, one of the following is true if an object is thrown at an angle 30° with the ground?)

A

R = √3H

B

R = 4H

C

R = 4√3H

D

R = 3√2H

A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration

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